Pith Number

pith:H5VMTX34

pith:2015:H5VMTX34K2WUW4HG5XGFACDETI

not attested not anchored not stored refs pending

Arithmetical Congruence Preservation: from Finite to Infinite

Ir\`ene Guessarian, Patrick C\'egielski, Serge Grigorieff

arxiv:1506.00149 v1 · 2015-05-30 · math.NT

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{H5VMTX34K2WUW4HG5XGFACDETI}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-05-18T01:59:55.356400Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3f6ac9df7c56ad4b70e6edcc5008649a1aba7551e57c58e1905d5e7a29158237

Aliases

arxiv: 1506.00149 · arxiv_version: 1506.00149v1 · doi: 10.48550/arxiv.1506.00149 · pith_short_12: H5VMTX34K2WU · pith_short_16: H5VMTX34K2WUW4HG · pith_short_8: H5VMTX34

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/H5VMTX34K2WUW4HG5XGFACDETI \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 3f6ac9df7c56ad4b70e6edcc5008649a1aba7551e57c58e1905d5e7a29158237

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "646d241c604e0a926d49684c621759cd170a3eec446783324d76ab9367b5c974",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2015-05-30T18:20:51Z",
    "title_canon_sha256": "52e65847e873d829117b00792d81b48e8431b6deae8cc4ea910d579170922f76"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1506.00149",
    "kind": "arxiv",
    "version": 1
  }
}